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Selina Solutions Class 9 Mathematics Solutions for Exercise 1(D) in Chapter 1 - Chapter 1- Rational and Irrational Numbers

Question 12 Exercise 1(D)

Show that x is rational if:

(i) x²=16

(ii) x2=0.0004

(iii) x2=

1\frac{7}{9}

Answer:

(i) x²=16

⇒ 𝑥 = √16=4, which is rational.

(ii) x² =0.0004

⇒ 𝑥 = √0.0004=0.02, which is rational.

(iii) x²=1\frac{7}{9}

⇒ 𝑥 = \sqrt{1 \frac{7}{9}}=\sqrt{\frac{16}{9}}=\frac{4}{3}, \text { which is rational. }

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